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Finding the Fourth Proportional to 178,678.24, 268,056.24 and 54,016

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Solution

The fourth proportional to 178,678.24, 268,056.24 and 54,016 is: 81,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,678.24 : 268,056.24 = 54,016 : x
  2. Step 2: Convert to fraction form
    178,678.24/268,056.24 = 54,016/x
  3. Step 3: Cross multiply
    178,678.24x = 268,056.24 × 54,016
  4. Step 4: Simplify right side
    178,678.24x = 14,479,325,859.84
  5. Step 5: Solve for x
    x = 14,479,325,859.84/178,678.24
  6. Step 6: Final answer
    x = 81,035.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.